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Finding the Fourth Proportional to 13,770, 20,655.41 and 3,381.75

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Solution

The fourth proportional to 13,770, 20,655.41 and 3,381.75 is: 5,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770 : 20,655.41 = 3,381.75 : x
  2. Step 2: Convert to fraction form
    13,770/20,655.41 = 3,381.75/x
  3. Step 3: Cross multiply
    13,770x = 20,655.41 × 3,381.75
  4. Step 4: Simplify right side
    13,770x = 69,851,415.86
  5. Step 5: Solve for x
    x = 69,851,415.86/13,770
  6. Step 6: Final answer
    x = 5,072.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.